Engineering Analysis With Boundary Elements ( IF 3.3 ) Pub Date : 2020-10-24 , DOI: 10.1016/j.enganabound.2020.10.011 Elsayed M. Elsheikh , Taha H.A. Naga , Youssef F. Rashed
In this paper, an assessment of the accuracy performance of a new fundamental solution based element is carried out. Dynamic analysis of shear-deformable plate bending problems is considered. The element stiffness matrix is obtained by modified hybrid displacement variational statement. The mass matrix is computed using the relevant element shape functions. Free and forced vibrations are considered. It has demonstrated that the element is suitable for modelling both thin and thick plates. The obtained results are very promising as the accuracy level is excellent even with coarse discretization. The present element could be also considered as a locking-free element.
中文翻译:
评估板弯曲动力学中基于变分基本解的元素
在本文中,对基于基本解决方案的新元件的精度性能进行了评估。考虑了可变形板弯曲问题的动力学分析。单元刚度矩阵通过修正的混合位移变分语句获得。使用相关的元素形状函数计算质量矩阵。考虑自由振动和强制振动。已经证明该元素适用于对薄板和厚板进行建模。获得的结果非常有希望,因为即使进行粗略的离散化,其精度也非常好。本元件也可以被认为是无锁定元件。